Find the value of sin-765-circ-

Question

Toppr Admin · Accepted Answer

It is known that the values of sinx repeat after an interval of 2-x3C0- or 360-x2218-x2234-sin765-x2218-sin-2-xD7-360-x2218-45-x2218-sin45-x2218-1-x221A-2

Find the value of $sin 765^{\circ}$

It is known that the values of $sin x$ repeat after an interval of $2 π$ or $360^{\circ}$
$∴ sin 765^{\circ} = sin (2 \times 360^{\circ} + 45^{\circ})$
$= sin 45^{\circ}$
$= \frac{1}{\sqrt{2}}$

Find the value of sin765∘

It is known that the values of sinx repeat after an interval of 2π or 360∘∴sin765∘=sin(2×360∘+45∘)=sin45∘=1√2

Find the value of $sin 765^{\circ}$

It is known that the values of $sin x$ repeat after an interval of $2 π$ or $360^{\circ}$
$∴ sin 765^{\circ} = sin (2 \times 360^{\circ} + 45^{\circ})$
$= sin 45^{\circ}$
$= \frac{1}{\sqrt{2}}$